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Thermodynamic multifield modeling and simulation of electromagnetic, thermoelastic, viscoplastic solids
Author(s) -
Unger Jaan,
Stiemer Marcus,
Svendsen Bob,
Blum Heribert
Publication year - 2008
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.200890011
Subject(s) - entropy production , magnetic field , thermoelastic damping , electromotive force , viscoplasticity , lorentz force , constitutive equation , mechanics , electromagnetic field , classical mechanics , physics , materials science , thermodynamics , thermal , finite element method , quantum mechanics
The purpose of this work is the formulation and application of a continuum thermodynamic approach to the phenomenological modeling of a class of engineering materials which can be formed using strong magnetic fields. This is carried out in the framework of a thermodynamic, internal‐variable‐based formulation in which the deformation, temperature and magnetic fields are in general coupled. This coupling takes the form of the Lorentz force as an additional production of momentum, and the electromotive power as an additional production of energy, in the material. The constitutive formulation is based on the exploitation of the Müller‐Liu entropy principle. The resulting reduced relations are then adapted to the case of electromagnetic forming. In this context, dimensional analysis shows that, over the relevant length‐ and timescales of engineering interest, and for the materials of interest ( e.g. , aluminum alloys, steels) the evolution of the magnetic field is diffusive in nature, and thermal conduction is negligible. Finally, the model implementation is discussed and applied to the 3D simulation of electromagnetic sheet metal forming. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)